Prime p₀= 2015935415843891 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 28 2 40 2 4 2 40 2 10 2 (?)
a_n: 0 2 48 50 78 80 120 122 126 128 168 170 180 182
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 182
Found by: Dario666
db: batch=61, k=14, 46 28 40 4 40 10

SPT(14)	2015917578532673	0 18 56 60 98 140 156 170 186 228 266 270 308 326	-17837311218
SPT(14)	2015924332779241	0 16 40 42 48 52 70 78 96 100 106 108 132 148	-11083064650
SPT(14)	2015928430453499	0 8 74 92 128 132 150 182 200 204 240 258 324 332	-6985390392
SPT(16)	2015928648331187	0 32 80 90 116 132 186 204 212 230 284 300 326 336 384 416	-6767512704
SPT(14)	2015929896293539	0 10 52 78 90 108 168 184 244 262 274 300 342 352	-5519550352
SPT(14)	2015931550906991	0 6 50 56 90 98 110 126 138 146 180 186 230 236	-3864936900
SPT(14)	2015935499411447	0 12 42 56 80 146 174 182 210 276 300 314 344 356	83567556
SPT(14)	2015941436848177	0 46 94 112 150 160 172 174 186 196 234 252 300 346	6021004286
SPT(14)	2015953157581747	0 42 46 52 66 76 112 114 150 160 174 180 184 226	17741737856
TPT(12)	2015953998358379	0 2 48 50 60 62 102 104 162 164 258 260	18582514488
SPT(14)	2015958837632351	0 2 42 56 62 72 78 140 146 156 162 176 216 218	23421788460